US6710925B2 - Lens array of erecting mode with unity magnification - Google Patents

Lens array of erecting mode with unity magnification Download PDF

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Publication number
US6710925B2
US6710925B2 US10/458,542 US45854203A US6710925B2 US 6710925 B2 US6710925 B2 US 6710925B2 US 45854203 A US45854203 A US 45854203A US 6710925 B2 US6710925 B2 US 6710925B2
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United States
Prior art keywords
lens
plates
aperture diaphragm
array
erecting mode
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Expired - Lifetime
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US10/458,542
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US20030231402A1 (en
Inventor
Hiroyuki Nemoto
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Nippon Sheet Glass Co Ltd
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Nippon Sheet Glass Co Ltd
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Assigned to NIPPON SHEET GLASS CO., LTD. reassignment NIPPON SHEET GLASS CO., LTD. ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: NEMOTO, HIROYUKI
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    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00—Simple or compound lenses
    • G02B3/0006—Arrays
    • G02B3/0037—Arrays characterized by the distribution or form of lenses
    • G02B3/0062—Stacked lens arrays, i.e. refractive surfaces arranged in at least two planes, without structurally separate optical elements in-between
    • G02B3/0068—Stacked lens arrays, i.e. refractive surfaces arranged in at least two planes, without structurally separate optical elements in-between arranged in a single integral body or plate, e.g. laminates or hybrid structures with other optical elements

Definitions

  • the present invention relates to a lens array of an erecting mode with unity amplification and, more particularly, to a lens array of an erecting mode with unity amplification, which provides an aperture diaphragm and prevents a flare light and a stray light.
  • a lens array of an erecting mode with unity amplification is realized by superposing a plurality of lens plates, which array a number of convex lenses on both sides thereof.
  • a plurality of resin lens plates, which array a number of convex lenses on both sides of a transparent substrate, is superposed so as to form a resin lens array of the erecting mode with unity magnification.
  • An optical system of the erecting mode with unity magnification assumes that the height of an object is equal to the height of an erecting image. It is, thus, subject to the condition that the optical system between the object and the erecting image is symmetric, and an inverted image needs to be formed in the center of a lens plate group. In the case where the number of lenses is in even numbers, the inverted image is formed between two pieces of the lens plates at the center, and in the case where the number of lenses is in odd numbers, at the central position of the lens plate at the center, and a light ray becomes symmetrical for this inverted image.
  • FIG. 1 shows a state of the light ray in which an image of the erecting mode with unity magnification is obtained by tightly superposing two pieces of the lens plates 10 and 12 in which convex lenses 8 are arrayed and formed on both sides.
  • reference numeral 2 denotes the object, and 4 the Image.
  • the inverted image 16 is formed on the surface 14 to which the lens plates 10 and 12 come into contact.
  • the lens plate can be manufactured by a forming, a mass production Is easy and, since the lens plate is light in weight and moderate in price, it is used for various applications. In particular, applications for image forming apparatuses such as optical printers and the like or image reading apparatuses such as scanners and the like are expected. Although a much higher resolution is required for these apparatuses, the resin lens by a forming can obtain a high degree of accuracy since an accuracy of the lens array is decided by the accuracy of a forming die. Moreover, the resin lens by forming is characterized by the very rare existence of characteristic unevenness between individual lens arrays.
  • the resin lens array of the erecting mode with unity magnification as described above has the following problems.
  • the lens plate Since the lens plate is transparent, the portion other than the lens portion is transparent. Hence, a light shielding is required for the light that transmits the portion other than the lens portion, and a shielding layer is thus provided. However, even if the shielding layer is provided, there is such a case that the light incident on the lens portion becomes the flare light and the stray light for adjacent lenses.
  • FIG. 2A shows one piece of a lens 20 in the case of the six directional compact lens arrays.
  • the lens diameter can be regarded as the diameter of an inscribed circle 22 of the equilateral hexagon.
  • FIG. 2B shows one piece of a lens 24 in the case of the four directional compact array structures.
  • the actual lens shape of this lens is a square, and the lens diameter can be regarded as the diameter of an inscribed circle 26 of the square.
  • the inverted image 16 needs to be formed within the scope of the inscribed circles 22 and 26 .
  • the height of the inverted image is theoretically found to satisfy a required specification of a desired resolution and the amount of transmitted light. In this way, the size of the actual lens is designed.
  • the maximum value of the height of the inverted image needs to be within a lens radius (radius of the inscribed circle of the actual lens shape). When the height of the inverted image becomes higher than the lens radius, the part of the inverted image hangs over the adjacent lenses so that no correct image formation can be made.
  • the optical system it is possible to design the optical system so that the height of the inverted image becomes lower than the lens radius.
  • the outer periphery of the lens has a large aberration and, therefore, It is desirable to design the height of the inverted image slightly lower than the lens radius.
  • the height of an object 2 needs not to be equal to the lens radius, and if it is within the scope in which the light can be taken in, regardless of whether it is higher or lower than the lens radius, it can be selected by the design of the optical system.
  • the light which passes through within the real lens region of the outside of the inscribed circles 22 and 26 becomes the flare light. Further, the light which passes through within a virtual lens radius equivalent to the radius of the inscribed circles 28 and 30 of the real lens becomes the stray light at the outside of the real lens region.
  • FIGS. 3A and 3B show the lens plates, which are constituted by a six directional compact array, or a four directional compact array in which such real lenses mutually come into contact.
  • the array direction of the real lens is defined as follows. That is, the direction, in which one side of the shape of a polygonal real lens comes into contact with each other, is regarded as the array direction.
  • An object of the present invention is to provide a lens array of an erecting mode with unity amplification, which scarcely generates a stray light and a flare light.
  • a lens pitch in the array direction of the convex lens is not less than two times the height of the inverted image formed inside the lens array of the erecting mode with unity amplification
  • an aperture diaphragm is provided on individual lens elements in the surface adjacent to the position in which the inverted image is formed, so that a light does not pass through the outside of the area of a circle having the height of the inverted image as a radius.
  • the aperture diaphragm is provided between two pieces of the lens plates in which the inverted image is formed.
  • the aperture diaphragm is provided inside the central lens plate, inside of which the inverted image is formed.
  • the central lens plate is constituted such that two pieces of single-faced lens plates, in which convex lenses are formed on one side, allow the surfaces, in which no convex lenses are formed, to be opposed and superposed, and the aperture diaphragm is provided on the superposed surfaces of two pieces of the single-faced lens plates.
  • the aperture diaphragm is provided between the central lens plate, inside of which the inverted image is formed, and the lens plates of both sides in opposition to the central lens plate.
  • the aperture diaphragm can be formed of a film-shielding layer or the shielding layer adhered to the surface of the lens plate.
  • FIG. 1 is a view showing a state of the light in the case where an image of an erecting mode with unity magnification is obtained by superposing two pieces of lens plates;
  • FIG. 2A is a view showing a lens radius and a virtual lens radius of one piece of a lens in a six directional compact array structure
  • FIG. 2B is a view showing the lens radius and the virtual lens radius of one piece of the lens in a four directional compact array structure
  • FIG. 3A is a view showing the lens plates arrayed and constituted by the six directional compact arrays so that the lenses mutually come into contact;
  • FIG. 3B is a view showing the lens plates arrayed and constituted by the four directional compact arrays so that the lenses mutually come into contact;
  • FIG. 5 is a view showing the lens array of the erecting mode with unity amplification of a four directional compact array structure, which is one embodiment of the present invention
  • FIG. 6 is a view showing a practical design example of an aperture diaphragm
  • FIG. 7 is a view showing the practical design example of the lens array of the erecting mode with unity amplification by using the aperture diaphragm shown in FIG. 6;
  • FIG. 8 is a view showing another practical design example of the lens array of the erecting mode with unity amplification by using the aperture diaphragm shown in FIG. 6;
  • FIG. 9 is a view showing an example in which the aperture diaphragm is provided inside a central lens plate of the lens array of the erecting mode with unity amplification;
  • FIG. 10 is a view showing the example in which the aperture diaphragm is provided between the central lens plate of the lens array of the erecting mode with unity amplification and the lens plates of both side in opposition to the central lens plate;
  • FIG. 11 is a view showing the example in which the aperture diaphragm is provided between the central lens plate and the lens plates of both sides in opposition to the central lens plate by adhering a shielding layer on the lens surface.
  • Such an aperture diaphragm is either held between lens plates as a piece of film shielding layer or is formed by adhering the shielding layer on a lens surface.
  • the film shielding layer can be either the one in which an opening is formed by printing a light absorption layer on a film surface having a high light transmittance or the one in which the opening is formed by providing a hole on the film having a low light transmittance.
  • the aperture diaphragm needs not to be provided by corresponding to all the lens plates, and may be provided at least at a position in which the inverted image is formed.
  • the aperture diaphragm is either formed by holding the film shielding layer between the lens plates or is formed by adhering the shielding layer at least on one of the opposed lens surfaces.
  • FIG. 6 shows a film aperture diaphragm 32 used in the lens array of the erecting mode with unity magnification having the six directional array structures.
  • the height H of the inverted image is 0.18 mm. Therefore, a radius of one piece of the circular opening 33 is 0.36 mm.
  • the lens pitch is 0.4 mm, not less than two times the height H of the inverted image. Note that, in FIG. 6, a solid line showing a hexagonal shape shows a region of the shielding layer, which forms one piece of the circular opening 33 .
  • FIG. 7 shows an example in which the film aperture diaphragm 32 shown in FIG. 6 is provided in the lens array of the erecting mode with unity amplification shown in FIG. 1 to be held between two pieces of the lens plates 10 and 12 in the lens array of the erecting mode with unity magnification shown in FIG. 1 .
  • This is an optical system in which 60% of a MTF (Modulation Transfer Function) is obtained by a special frequency 4LP/mm.
  • MTF Modulation Transfer Function
  • i (W) max and i (W) min show the maximum value and the minimum value of a rectangular wave response in the special frequency w(Lp/mm).
  • two pieces of the lens plates 10 and 12 show only a portion including one piece of a convex lens. Further, a top view of the shielding layer 32 , which forms one piece of the circular opening 33 , is shown together.
  • Thickness of each lens plate is 1.296 mm, and a curvature radius of the convex lens, which each lens plate possesses, is 0.413 mm.
  • the lens pitch of the array direction of the convex lens is 0.4 mm.
  • the aperture diaphragm is provided at a forming position of the inverted image.
  • FIG. 8 is an example in which the film aperture diaphragms 34 and 36 are provided at the forefront and the rearmost surface of the lens plates 10 and 12 of the lens array of the erecting mode with unity amplification shown in FIG. 7 .
  • the diameter of the aperture diaphragms 34 and 36 is 0.4 mm, and is set to be slightly larger than the diameter of the aperture diaphragm 32 provided between the lens plates 10 and 12 .
  • the above-described examples relate to the case where the lens plates are superposed two pieces.
  • the lens plates are superposed in even numbers (not less than four pieces)
  • the inverted image is formed between two pieces of the central lens plates. Therefore, it is possible to provide the film aperture diaphragm so as to be held between two pieces of the lens plates.
  • the film aperture diaphragms are provided at the forefront and the rearmost surface of the lens plate, thereby making it possible to further reduce the stray light.
  • the aperture diaphragm is either provided inside the central lens plate or is provided between the central lens plate and lens plates of both sides in opposition to the central lens plate.
  • FIG. 9 is an example in which the aperture diaphragm is provided inside the central lens plate of the lens array of the erecting mode with unity amplification constituted by superposing three pieces of lens plates 10 , 40 and 12 .
  • the central lens plate 40 is constituted by adhering another side of the single-faced lens plate 40 - 1 and 40 - 2 where no lenses are formed.
  • reference numeral 42 denotes the adhered surfaces.
  • the aperture diaphragm is provided on the adhered surfaces by holding the film aperture diaphragm 44 .
  • the radius of the circular opening of the film aperture diaphragm 44 is constituted so as to be equal to the height of the inverted image.
  • FIG. 10 shows an example in which the aperture diaphragms are provided between the central lens plate 46 of the lens array of the erecting mode with unity amplification constituted by superposing three pieces of lens plates 10 , 46 and 12 , and the lens plates 10 and 12 in opposition to the central lens plate 46 , respectively.
  • the aperture diaphragm is formed by holding one piece of the film shielding layer between the lens plates.
  • three pieces of the lens plates 10 , 46 , 12 show the portion that includes only one piece of the convex lens.
  • the thickness of each lens plates is 0.9 mm, and the curvature radius of the convex lens each lens plate possesses is 0.5 mm.
  • the lens pitch of the convex lenses to the array direction is 0.48 mm.
  • An aperture diaphragm 32 a is provided between the lens plate 46 and the lens plate 10
  • an aperture diaphragm 32 b is provided between the lens plate 46 and the lens plate 12 .
  • the radius of the circular opening of the aperture diaphragms 32 a and 32 b is 0.34 mm, and it is constituted to be equal to the height of the inverted image.
  • the aperture diaphragm may be formed by adhering the shielding layer on the lens surface.
  • FIG. 11 shows an example in which, by adhering the shielding layer on the lens surfaces, the aperture diaphragms 38 a and 38 b are provided between the central lens plate 46 , and the lens plates 10 and 12 of both sides in opposition to the central lens plate 46 .
  • the aperture diaphragm 38 a is formed on the lens forming surface of the opposing lens plate 10 and, in the light outgoing side, the aperture diaphragm 38 b is formed on the lens forming surface of the central lens plate 46 .
  • the film aperture diaphragms can be provided on the forefront of the lens plate at the object side and on the rearmost surf ace of the lens plate at the image side.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Optical Elements Other Than Lenses (AREA)
  • Lenses (AREA)
  • Optical Systems Of Projection Type Copiers (AREA)
  • Lens Barrels (AREA)
US10/458,542 2002-06-12 2003-06-10 Lens array of erecting mode with unity magnification Expired - Lifetime US6710925B2 (en)

Applications Claiming Priority (6)

Application Number Priority Date Filing Date Title
JP2002170955 2002-06-12
JP2002-170955 2002-06-12
JP2002-170,955 2002-06-12
JP2003-3,360 2003-01-09
JP2003003360A JP2004070268A (ja) 2002-06-12 2003-01-09 正立等倍レンズアレイ
JP2003-003360 2003-01-09

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US20030231402A1 US20030231402A1 (en) 2003-12-18
US6710925B2 true US6710925B2 (en) 2004-03-23

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JP (1) JP2004070268A (zh)
CN (1) CN1203347C (zh)
TW (1) TWI230272B (zh)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20050002105A1 (en) * 2003-07-01 2005-01-06 Hiroyuki Nemoto Lens plate, method for manufacturing the same and image transfer device
US20060139759A1 (en) * 2004-12-27 2006-06-29 Takahiro Hashimoto Stereoimage formation apparatus and stereoimage display unit
US20090052943A1 (en) * 2007-08-20 2009-02-26 Seiko Epson Corporation Line Head and Image Forming Apparatus Using the Same
US20110216418A1 (en) * 2010-03-04 2011-09-08 Kabushiki Kaisha Toshiba Erect equal-magnification lens array

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JP4495942B2 (ja) * 2003-10-20 2010-07-07 リコー光学株式会社 結像光学系・画像形成装置・プリンターおよび画像読取装置
JP2007322485A (ja) 2006-05-30 2007-12-13 Nippon Sheet Glass Co Ltd 遮光隔壁形成用のアルカリ現像型黒色感光性樹脂組成物
JP4950103B2 (ja) * 2007-08-20 2012-06-13 日本板硝子株式会社 正立等倍レンズアレイプレート、イメージセンサユニットおよび画像読取装置
JP5136778B2 (ja) * 2007-08-20 2013-02-06 セイコーエプソン株式会社 ラインヘッド及びそれを用いた画像形成装置
JP5243161B2 (ja) * 2008-09-18 2013-07-24 日本板硝子株式会社 画像読取装置
US8238028B2 (en) 2008-10-06 2012-08-07 Kabushiki Kaisha Toshiba Erect equal-magnification lens array, scanning optical system, exposing optical system and image forming apparatus
US20110216419A1 (en) * 2010-03-04 2011-09-08 Kabushiki Kaisha Toshiba Erecting and unity-magnifying lens array and contact image sensor
JP5555107B2 (ja) * 2010-09-17 2014-07-23 株式会社沖データ レンズアレイ、レンズユニット、ｌｅｄヘッド、露光装置、画像形成装置、読取装置、レンズアレイの製造方法および成形型
CN102455483B (zh) * 2010-10-20 2014-07-09 鸿富锦精密工业（深圳）有限公司 投影镜头
CN102455489A (zh) * 2010-10-27 2012-05-16 鸿富锦精密工业（深圳）有限公司 投影镜头
JP5731327B2 (ja) * 2011-08-26 2015-06-10 京セラ株式会社 正立等倍レンズアレイユニットおよび画像読取装置
JP2012226302A (ja) * 2011-12-21 2012-11-15 Pioneer Electronic Corp 光源ユニット及びヘッドアップディスプレイ
JP5048154B1 (ja) * 2011-12-21 2012-10-17 パイオニア株式会社 画像表示装置
JP2012226301A (ja) * 2011-12-21 2012-11-15 Pioneer Electronic Corp 光源ユニット及びヘッドアップディスプレイ
KR101187750B1 (ko) 2012-06-19 2012-10-08 주식회사 세코닉스 스무딩 육각 패턴을 갖는 광학필름 및 그를 이용한 백라이트 어셈블리
CN107613177A (zh) * 2017-10-16 2018-01-19 上海斐讯数据通信技术有限公司 基于复眼透镜的摄像头、成像方法及移动终端
JP7427974B2 (ja) * 2020-01-27 2024-02-06 富士フイルムビジネスイノベーション株式会社 光学装置、画像読取装置および画像形成装置

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US6124975A (en) * 1998-09-18 2000-09-26 U.S. Philips Corporation Lenticular sheet
US6377403B1 (en) * 2000-09-07 2002-04-23 David C. Smith Short pulse laser protection fly's eye lens

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6124975A (en) * 1998-09-18 2000-09-26 U.S. Philips Corporation Lenticular sheet
US6377403B1 (en) * 2000-09-07 2002-04-23 David C. Smith Short pulse laser protection fly's eye lens

Cited By (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20050002105A1 (en) * 2003-07-01 2005-01-06 Hiroyuki Nemoto Lens plate, method for manufacturing the same and image transfer device
US7116484B2 (en) * 2003-07-01 2006-10-03 Nippon Sheet Glass Company, Limited Lens plate, method for manufacturing the same and image transfer device
US20060262412A1 (en) * 2003-07-01 2006-11-23 Hiroyuki Nemoto Lens plate, method for manufacturing the same and image transfer device
US7242526B2 (en) 2003-07-01 2007-07-10 Nippon Sheet Glass Company, Limited Lens plate, method for manufacturing the same and image transfer device
US20070241469A1 (en) * 2003-07-01 2007-10-18 Hiroyuki Nemoto Lens plate, method for manufacturing the same and image transfer device
US20060139759A1 (en) * 2004-12-27 2006-06-29 Takahiro Hashimoto Stereoimage formation apparatus and stereoimage display unit
US7319561B2 (en) * 2004-12-27 2008-01-15 Nippon Sheet Glass Company, Limited Stereoimage formation apparatus and stereoimage display unit
US20080088922A1 (en) * 2004-12-27 2008-04-17 Nippon Sheet Glass Company, Limited Stereoimage formation apparatus and stereoimage display unit
US7474466B2 (en) 2004-12-27 2009-01-06 Nippon Sheet Glass Co., Ltd. Stereoimage formation apparatus and stereoimage display unit
US20090052943A1 (en) * 2007-08-20 2009-02-26 Seiko Epson Corporation Line Head and Image Forming Apparatus Using the Same
US20110216418A1 (en) * 2010-03-04 2011-09-08 Kabushiki Kaisha Toshiba Erect equal-magnification lens array

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Publication number Publication date
TWI230272B (en) 2005-04-01
CN1203347C (zh) 2005-05-25
CN1469136A (zh) 2004-01-21
TW200403452A (en) 2004-03-01
US20030231402A1 (en) 2003-12-18
JP2004070268A (ja) 2004-03-04

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